Question

Use the image to answer the question.

An illustration shows a coordinate plane with four quadrants. The x-axis ranges from negative 6 to 6 in one unit increments. The y-axis ranges from negative 4 to 6 in one unit increments. An upward slanting line is graphed on the coordinate plane. The line passes through two plotted points. The points have coordinates at left parenthesis negative 3 comma negative 1 right parenthesis and left parenthesis 2 comma 4 right parenthesis.

Write the equation of the linear function shown on the graph. Enter your answer in y=mx+b form.

Answer 1

To find the equation of the linear function, we first need to calculate the slope (m) using the coordinates of the two points.

m = (y2 - y1) / (x2 - x1)
m = (4 - (-1)) / (2 - (-3))
m = 5 / 5
m = 1

Next, we can choose one of the points to plug into the equation y = mx + b to solve for the y-intercept (b). Let's use the point (2, 4):

4 = 1(2) + b
4 = 2 + b
b = 2

Therefore, the equation of the linear function is y = x + 2.